An Achievable Throughput Capacity of Three-Dimensional Inhomogeneous Wireless Networks

In this paper, we investigate the achievable throughput capacity of three-dimensional (3D) inhomogeneous wireless ad hoc networks. In particular, we consider nodes placed according to Shot Noise Cox process, which allows to model the clustering behavior usually recognized in large-scale systems. For this class of networks, we partition the transmission into two parts: the intra-cluster transmission and the inter-cluster transmission. For the intra-cluster transmission, we firstly construct a spheroidal percolation model in which the highway system exists. Different from regular 2D percolation model, the highways in our model are in the radial direction and around the cluster. Based on our model, we propose a novel routing strategy with five phases and derive the per-node rate for the intra-cluster transmission. As for the inter-cluster transmission, we build some "information pipes\´\´ to connect the clusters and then get the inter-cluster transmission rate. Finally, we take the transmission of the whole networks into account and obtain the lower bound of the throughput capacity of 3D inhomogeneous networks.